What is the Greatest Common Factor of 44389 and 44400?

Greatest common factor (GCF) of 44389 and 44400 is 1.

GCF(44389,44400) = 1

We will now calculate the prime factors of 44389 and 44400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44389 and 44400.

How to find the GCF of 44389 and 44400?

We will first find the prime factorization of 44389 and 44400. After we will calculate the factors of 44389 and 44400 and find the biggest common factor number .

Step-1: Prime Factorization of 44389

Prime factors of 44389 are 44389. Prime factorization of 44389 in exponential form is:

44389 = 44389¹

Step-2: Prime Factorization of 44400

Prime factors of 44400 are 2, 3, 5, 37. Prime factorization of 44400 in exponential form is:

44400 = 2⁴ × 3¹ × 5² × 37¹

Step-3: Factors of 44389

List of positive integer factors of 44389 that divides 44389 without a remainder.

Step-4: Factors of 44400

List of positive integer factors of 44400 that divides 44389 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 37, 40, 48, 50, 60, 74, 75, 80, 100, 111, 120, 148, 150, 185, 200, 222, 240, 296, 300, 370, 400, 444, 555, 592, 600, 740, 888, 925, 1110, 1200, 1480, 1776, 1850, 2220, 2775, 2960, 3700, 4440, 5550, 7400, 8880, 11100, 14800, 22200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44389 and 44400. The biggest common factor number is the GCF number.
So the greatest common factor 44389 and 44400 is 1.

Also check out the Least Common Multiple of 44389 and 44400